Question

X4−x2−2x−1 factorize?

Answer 1

`x^4-x^2-2x-1=(x^2+x+1)(x^2-x-1)`

Explanation:

`x^4-x^2-2x-1`

= `x^4-(x^2+2x+1)`

= `(x^2)^2-(x+1)^2`

= `(x^2+(x+1))(x^2-(x+1))`

= `(x^2+x+1)(x^2-x-1)`